Our Faculty

Sumit Mohanty

Assistant Professor (Grade – II)

PhD. Mathematics, IIT Kanpur, 2015

Dr. Sumit Mohanty received his bachelor’s and master’s degree in Mathematics from Utkal University, and his Ph.D. from the Department of Mathematics and Statistics, IIT Kanpur. His Ph.D. research work is related to the combinatorial analogue of some classical PDEs. He has a few years of postdoctoral research experience from IIT Kanpur, NISER Bhubaneswar, and IISc Bangalore. He also has a few years of teaching experience at IISER Thiruvananthapuram and GITAM Visakhapatnam. He joined the Humanities and Applied Sciences area at IIM Ranchi in March 2022.His broad research interest is graph theory and combinatorics. In particular, he works on the problems related to combinatorial PDEs on graphs, and the interrelation between graphs and related matrices using combinatorial techniques.

Teaching Areas

Graph Theory
Linear Algebra
Combinatorics

Experience

Project Scientist, Department of Mathematics & Statistics, IIT Kanpur. (Feb 23, 2015 – May 26, 2015)
Institute Post-Doctoral Fellow, NISER Bhubaneswar. (Jun 1, 2015 – Nov 30, 2015)
Kothari Post-Doctoral Fellow, IISc Bangalore. (Dec 01, 2015 – June 27, 2017)
Assistant Professor Grade-II, School of Mathematics, IISER TVM, (June 29, 2017 – Sep 30, 2020)
Assistant Professor, Department of Mathematics, GITAM Institute of Science, Visakhapatnam Campus. (Jan 01, 2021-Feb 28, 2022)

Research Area

Graph Theory
Combinatorics

Publications

Joyentanuj Das, Sumit Mohanty, Maximization of the spectral radius of block graphs with a given dissociation number, Applied Mathematics and Computation, Vol 465, 2024, 128424. https://doi.org/10.1016/j.amc.2023.128424
Joyentanuj Das, Sumit Mohanty. On squared distance matrix of complete multipartite graphs. Indian J Pure Appl Math 2023. https://doi.org/10.1007/s13226-023-00386-2
Swetha Ganesh, Sumit Mohanty. Trees with Matrix Weights: Laplacian Matrix, Characteristic-like Vertices. Linear Algebra and Its Applications, Vol 646, 2022, Pages 195-237. https://doi.org/10.1016/j.laa.2022.03.029
Joyentanuj Das, Sumit Mohanty. Distance Matrix of Weighted Cactoid-type Digraphs. Linear and Multilinear Algebra, Vol 70, Issue 20, 2022, Pages 5392–5422. https://doi.org/10.1080/03081087.2021.1916423
Joyentanuj Das, Sumit Mohanty. Distance Matrix of a Multi-block Graph: Determinant and Inverse. Linear and Multilinear Algebra, Vol 70, Issue 19, 2022, Pages 3994–4022. https://doi.org/10.1080/03081087.2020.1860886
Joyentanuj Das, Sumit Mohanty. On the spectral radius of bi-block graphs with given independence number $\alpha$, Applied Mathematics and Computation, Vol 402, Issue 1, 2021, 125912. https://doi.org/10.1016/j.amc.2020.125912 
Joyentanuj Das, Sachindranath Jayaraman, Sumit Mohanty. Distance Matrix of a Class of Completely Positive Graphs: Determinant and Inverse. Special Matrices, Vol 8, Issue 1, 2020, Pages 160-171. https://doi.org/10.1515/spma-2020-0109
S. Mohanty, A.K. Lal. Maximization of combinatorial Schrodinger operator’s smallest eigenvalue with Dirichlet boundary condition. Discrete Mathematics, Vol 338, Issue 7, 2015, Pages 1131-1143. http://dx.doi.org/10.1016/j.disc.2015.01.029 
A.K. Lal, S. Mohanty, N. Nilakantan. Combinatorial PDEs on Cayley and coset graphs. Discrete Mathematics, Vol 311, Issue 22, 2011, Pages 2587-2592. http://dx.doi.org/10.1016/j.disc.2011.07.035

Awards

Institute Post-Doctoral Fellowship, NISER Bhubaneswar, 2015.
NBHM Post-Doctoral Fellowship, 2015.
UGC DS Kothari Post-Doctoral Fellowship, 2015.
DST SERB Young-Scientist Fellowship, 2016.